Tachyon Condensation on Orbifolds and McKay Correspondence

Details Tachyon Condensation on Orbifolds and McKay Correspondence Tachyon Condensation on Orbifolds and McKay Correspondence

2001-06-15

arxiv.org/abs/hep-th/0106142v2

Phys.Lett. B519 (2001) 137-144

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, minor typos corrected and references added, to appear in PLB

Scientific paper

10.1016/S0370-2693(01)01054-1

In this short note we present a mathematical interpretation of tachyon condensation on (three dimensional) orbifolds within the framework of boundary string field theory (BSFT). We explicitly show that important parts of decay modes in brane-antibrane systems with N=2 boundary supersymmetry can be interpreted as the McKay correspondence described as complexes. This will give an example of the recent interpretation of D-branes as derived category. We also discuss the N=4 boundary supersymmetry as a more refined structure.

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